A tennis ball machine serves a ball vertically into the air from a a height of 2 feet, with an initial 110 feet per second. What

Question

4 years ago

11

is the maximum height, in feet, the ball will attain?

1 answer:

goblinko [34] · Answer 1 · 2021-12-11T17:53:16+03:00

Thank you for posting your question here. I hope the answer below will help.

Vo=110 feet per second

h0=2 feet

So, h(t) = -16t^2 +110t +2

Take the derivative: h'(t) = 110 -32t

The maximum height will be at the inflection when the derivative crosses the x-axis aka when h'(t)=0.

So, set h'(t)=0 and solve for t:

0 = 110 -32t

-110 = -32t

t=3.4375

t=3.44 seconds